Question

Consider a 355kg satellite in a circular orbit at a distance of
3.07 x 10^{4} km above the Earth’s surface. What is the
minimum amount of work the satellite’s thrusters must do to raise
the satellite to a geosynchronous orbit? Geosynchronous orbits
occur at approximately 3.60 x 10^{4} km above the Earth’s
surface. The radius of the Earth and the mass of the Earth are
R_{E} = 6.37 x 10^{3} km and M_{E} = 5.97 x
10^{24 kg} respectively. The gravitational constant 6.67 x
10^{-11} m^{3}/kg.s^{2} Assume the change
in mass of the satellite is negligible.

Answer #1

Find the energy of satellite in an orbit and the work done will be equal to change in energy for the transfer of orbit as shown below.

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A 200 kg satellite is placed in Earth’s orbit 200 km above the
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